Single-point blow-up in the Cauchy problem for the higher-dimensional Keller–Segel system
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Publication:5130934
DOI10.1088/1361-6544/ab9247zbMath1452.35227OpenAlexW3081048137MaRDI QIDQ5130934
Publication date: 30 October 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ab9247
radial solutionschemotaxisblowupwhole spacedoubly parabolic Keller-Segel modelenergy dissipation functional
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)
Related Items
Local and global existence of solutions of a Keller-Segel model coupled to the incompressible fluid equations, Classical solutions to Cauchy problems for parabolic-elliptic systems of Keller-Segel type, Arbitrarily fast grow-up rates in quasilinear Keller–Segel systems, Global solution of the chemotaxis attraction-repulsion Cauchy problem with the nonlinear signal production in \(\mathbb{R}^N\), Finite-time blow-up in the Cauchy problem of a Keller-Segel system with logistic source, Boundedness in the Cauchy problem for a chemotaxis system with indirect signal production and logistic growth, Unnamed Item, Large global solutions of the parabolic-parabolic Keller-Segel system in higher dimensions
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